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Finding the Fourth Proportional to 195.19, 269.34 and 107.87

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Solution

The fourth proportional to 195.19, 269.34 and 107.87 is: 148.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.19 : 269.34 = 107.87 : x
  2. Step 2: Convert to fraction form
    195.19/269.34 = 107.87/x
  3. Step 3: Cross multiply
    195.19x = 269.34 × 107.87
  4. Step 4: Simplify right side
    195.19x = 29,052.36
  5. Step 5: Solve for x
    x = 29,052.36/195.19
  6. Step 6: Final answer
    x = 148.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.